The present work is devoted to the study of the propagation of magneto-thermoelastic waves generated by a thermal shock in a finitely conducting elastic half-space. Three phase lag (TPL) theory of thermoelasticity has been applied to account for the interaction among the elastic, thermal and magnetic fields. Mechanical load and thermal shock has been applied on the boundary of the medium. Laplace transform technique on time has been used to obtain the solutions. By considering an illustrative example, numerical results have been computed to explore the physics of the problem. The results for the TPL model have been compared with those for the dual phase lag theory. The study reveals that the distribution of temperature, displacement and stress for the TPL model are significantly different from those of the two phase lag models, as the time progresses until the steady state is reached.

目前的工作致力于研究由热冲击产生的磁热弹性波在有限传导弹性半空间中的传播。热弹性的三相滞后 (TPL) 理论已被应用于解释弹性、热和磁场之间的相互作用。机械载荷和热冲击已被施加在介质的边界上。时间上的拉普拉斯变换技术已被用于获得解决方案。通过考虑一个说明性示例，计算了数值结果以探索问题的物理特性。TPL 模型的结果与双相滞后理论的结果进行了比较。研究表明，TPL 模型的温度、位移和应力分布与两相滞后模型有显着差异，